具耗散项的对称正则长波方程的显式精确解

Explicit and Exact Solutions of the Symmetric Regularized Long Wave Equation with Dissipative Term

Some explicit and exact traveling wave solutions of a class of symmetric regularized long wave equations with dissipative term are obtained by a kind of combination of direct method with ansatze method. These solutions include solitary wave solutions, singular traveling wave solutions. The corresponding solutions to the damped Boussinesq equation and the generalized Fisher equation are obtained as a corollary.